Hello,
I will respectfully disagree on this one.
You put down a total of approximately $87,500 of debt. For a settlement ratio of 50%, you would need to come up with around $43,750 total to pay them off. That's quite a chunk of change...
And that's just how it stands right now. If/when you stop paying on them (Settlement requires you to be 90 to 120 days late), their interest rates will go up, late fees will be assessed, etc., and you could be looking at nearly double the debt amount in a frighteningly short time. Not to mention, the remainder of the debt that is written off in Settlement (for amounts over $600), is reported to the IRS and you will get a 1099C (it is reported as income) which may increase your tax burden, unless you can prove insolvency to the satisfaction of the IRS.
HOWEVER, you also have assets and a good income. I can almost promise you that you will be sued (and more than once) should you attempt to settle. Debt collectors will see that on your credit report and salivate.
I don't mean to scare you or anything, but I have seen this all too often. I think that you should understand the risks involved before you take such measures.
If you decide to go the Debt Settlement route, keep in mind that a company will charge around 15% of your debt, adding much to the needed funds to settle. You can click on "Do It Yourself" above. Debt Settlement works best for low to moderate debt, especially when the candidate has little or no discernible (form a credit report perusal) assets - so I cannot suggest that route.
HOWEVER, there is another thing called
Debt Management (or Debt Negotiation) which I would highly recommend first. Credit card companies have something called a Hardship Program. They will lower the interest to around 9% so more of your payments can be applied to the principal so you can pay it off faster. In Negotiation you will have to pay the entire amount, and you cannot miss a payment by even a day (it's best to pay a week early just in case of delays at the Post office).
You can also tightly budget and squeeze out every available dollar to pay off credit cards completely (either the smallest balance or the highest interest first) by applying the extra funds to the principal. As you get each card paid off and closed, you will have that much more to apply to the next card; and the next. Lather, rinse, repeat.
There is also Chapter 13. But I think that a DM program is best for you (and best for your credit!) at this time so that is my recommendation.
What you also want to take into consideration is how your credit report will look *after* whatever you decide is completed.
Debt Management: Cards paid at payment larger than minimum and before the due date, and voluntarily closed by you. Everything paid in full. GREAT! AWESOME!!
Bankruptcy Ch 13: Debts were paid in monthly installments to a Trustee for 5 years, after which the rest of it is Discharged (i.e. Zero balance). Not so good, but easily recoverable if you take proactive steps within the first 6 months after discharge you will likely have your score up close to 700 within 2 years.
Debt Settlement: 30 Day lates, 60 day lates, 90 day lates, Charge-offs, "Paid for Less than Full Amount"s, and not to mention Judgments. VERY BAD.

Possible to recover from, but takes more time.
Please weigh your choices wisely and I trust that you will make the best decision for you and your family, and your future.